Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each eigen 10 A -(¹9) 1 2 a) The characteristic polynomial is p(r) = det(ArI) = r^2+2r+1 b) List all the eigenvalues of A separated by semicolons. 1;1 c) For each of the eigenvalues that you have found in (b) (from smallest to largest) give a basis of eigenv than one vector in the basis for an eigenvalue, write them side by side in a matrix. If there is only one zero vector as an answer for the second eigenvalue. i) Give a basis of eigenvectors associated to the smallest eigenvalue. Ә ? sin (a) a əx 8 C m

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Q: Please explain step by step how to do parts a, b ,c with the solution

A: Step 1: Step 2: Step 3: Step 4:

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